Abstract

We apply the theory of the mutual compactificability to some
spaces, mostly derived from the real line. For example, any
noncompact locally connected metrizable generalized continuum, the
Tichonov cube without its zero point Iℵ0\{0}, as well as the Cantor discontinuum without its zero point Dℵ0\{0} are of the same class of mutual compactificability as ℝ.

Copyright Hindawi Publishing Corporation. The ELibM mirror is published by FIZ Karlsruhe.